International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/578 2020 2020 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria M.A. .. Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of Neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant Neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings.  2020 2020 09 22 10.54216/IJNS.0100101 https://www.americaspg.com/articleinfo/21/show/578